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Solve the inequality 2x - 5 < -x - 12. Give your answer as an interval.

 Apr 4, 2021
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first, let's add x to both sides to get:

2x - 5 + x < -12

3x - 5 < -12

 

now let's add 5 to both sides.

3x < -12 + 5

3x < -7

 

lastly, let's divide 3 from both sides.

x < -7/3

 

so, in interval notation, the answer would be:

 

(-inf, -7/3)

 

 

hope this helped! please let me know if you are confused about anything i did :)

 Apr 4, 2021
edited by idyllic  Apr 4, 2021

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